Table of Contents

• Preface to the Third Edition
• Preface to the Second Edition
• Preface to the First Edition
• Acknowledgments
• Chapter 1. Fundamental concepts
• Chapter 2. Complex line integrals
• Chapter 3. Applications of the Cauchy integral
• Chapter 4. Meromorphic functions and residues
• Chapter 5. The zeros of a holomorphic function
• Chapter 6. Holomorphic functions as geometric mappings
• Chapter 7. Harmonic functions
• Chapter 8. Infinite series and products
• Chapter 9. Applications of infinite sums and products
• Chapter 10. Analytic continuation
• Chapter 11. Topology
• Chapter 12. Rational approximation theory
• Chapter 13. Special classes of holomorphic functions
• Chapter 14. Hilbert spaces of holomorphic functions, the Bergman kernel, and biholomorphic mappings
• Chapter 15. Special functions
• Chapter 16. The prime number theorem
• Appendix A: Real analysis
• Appendix B: The statement and proof of Goursat's theorem
• References
• Index

About the Author

Robert E. Greene, University of California, Los Angeles, Los Angeles, CA, USA

Steven G. Krantz, Washington University, St. Louis, MO, USA

Reviews

I can say that I have read this book with great pleasure and I do recommend it for those who are interested in complex analysis." - Zentralblatt MATH